3D profile filter algorithm based on parallel generalized B-spline approximating Gaussian
Abstract Currently, the approximation methods of the Gaussian filter by some other spline filters have been developed. However, these methods are only suitable for the study of one-dimensional filtering, when these methods are used for three-dimensional filtering, it is found that a rounding error a...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Ren, Zhiying [verfasserIn] Gao, Chenghui [verfasserIn] Shen, Ding [verfasserIn] |
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| Format: |
E-Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2014 |
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| Schlagwörter: |
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| Übergeordnetes Werk: |
Enthalten in: Chinese Journal of Mechanical Engineering - Chinese Mechanical Engineering Society, 2012, 28(2014), 1 vom: 20. Dez., Seite 148-154 |
|---|---|
| Übergeordnetes Werk: |
volume:28 ; year:2014 ; number:1 ; day:20 ; month:12 ; pages:148-154 |
| Links: |
|---|
| DOI / URN: |
10.3901/CJME.2014.1106.163 |
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SPR008128669 |
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| 520 | |a Abstract Currently, the approximation methods of the Gaussian filter by some other spline filters have been developed. However, these methods are only suitable for the study of one-dimensional filtering, when these methods are used for three-dimensional filtering, it is found that a rounding error and quantization error would be passed to the next in every part. In this paper, a new and high-precision implementation approach for Gaussian filter is described, which is suitable for three-dimensional reference filtering. Based on the theory of generalized B-spline function and the variational principle, the transmission characteristics of a digital filter can be changed through the sensitivity of the parameters (t1, t2), and which can also reduce the rounding error and quantization error by the filter in a parallel form instead of the cascade form. Finally, the approximation filter of Gaussian filter is obtained. In order to verify the feasibility of the new algorithm, the reference extraction of the conventional methods are also used and compared. The experiments are conducted on the measured optical surface, and the results show that the total calculation by the new algorithm only requires 0.07 s for 480×480 data points; the amplitude deviation between the reference of the parallel form filter and the Gaussian filter is smaller; the new method is closer to the characteristic of the Gaussian filter through the analysis of three-dimensional roughness parameters, comparing with the cascade generalized B-spline approximating Gaussian. So the new algorithm is also efficient and accurate for the implementation of Gaussian filter in the application of surface roughness measurement. | ||
| 650 | 4 | |a generalized B-spline |7 (dpeaa)DE-He213 | |
| 650 | 4 | |a Gaussian filter |7 (dpeaa)DE-He213 | |
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| 650 | 4 | |a cascade characteristic |7 (dpeaa)DE-He213 | |
| 650 | 4 | |a parallel characteristic |7 (dpeaa)DE-He213 | |
| 700 | 1 | |a Gao, Chenghui |e verfasserin |4 aut | |
| 700 | 1 | |a Shen, Ding |e verfasserin |4 aut | |
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10.3901/CJME.2014.1106.163 doi (DE-627)SPR008128669 (SPR)CJME.2014.1106.163-e DE-627 ger DE-627 rakwb eng Ren, Zhiying verfasserin aut 3D profile filter algorithm based on parallel generalized B-spline approximating Gaussian 2014 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract Currently, the approximation methods of the Gaussian filter by some other spline filters have been developed. However, these methods are only suitable for the study of one-dimensional filtering, when these methods are used for three-dimensional filtering, it is found that a rounding error and quantization error would be passed to the next in every part. In this paper, a new and high-precision implementation approach for Gaussian filter is described, which is suitable for three-dimensional reference filtering. Based on the theory of generalized B-spline function and the variational principle, the transmission characteristics of a digital filter can be changed through the sensitivity of the parameters (t1, t2), and which can also reduce the rounding error and quantization error by the filter in a parallel form instead of the cascade form. Finally, the approximation filter of Gaussian filter is obtained. In order to verify the feasibility of the new algorithm, the reference extraction of the conventional methods are also used and compared. The experiments are conducted on the measured optical surface, and the results show that the total calculation by the new algorithm only requires 0.07 s for 480×480 data points; the amplitude deviation between the reference of the parallel form filter and the Gaussian filter is smaller; the new method is closer to the characteristic of the Gaussian filter through the analysis of three-dimensional roughness parameters, comparing with the cascade generalized B-spline approximating Gaussian. So the new algorithm is also efficient and accurate for the implementation of Gaussian filter in the application of surface roughness measurement. generalized B-spline (dpeaa)DE-He213 Gaussian filter (dpeaa)DE-He213 three-dimensional reference (dpeaa)DE-He213 cascade characteristic (dpeaa)DE-He213 parallel characteristic (dpeaa)DE-He213 Gao, Chenghui verfasserin aut Shen, Ding verfasserin aut Enthalten in Chinese Journal of Mechanical Engineering Chinese Mechanical Engineering Society, 2012 28(2014), 1 vom: 20. Dez., Seite 148-154 (DE-627)SPR008124000 nnns volume:28 year:2014 number:1 day:20 month:12 pages:148-154 https://dx.doi.org/10.3901/CJME.2014.1106.163 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER AR 28 2014 1 20 12 148-154 |
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10.3901/CJME.2014.1106.163 doi (DE-627)SPR008128669 (SPR)CJME.2014.1106.163-e DE-627 ger DE-627 rakwb eng Ren, Zhiying verfasserin aut 3D profile filter algorithm based on parallel generalized B-spline approximating Gaussian 2014 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract Currently, the approximation methods of the Gaussian filter by some other spline filters have been developed. However, these methods are only suitable for the study of one-dimensional filtering, when these methods are used for three-dimensional filtering, it is found that a rounding error and quantization error would be passed to the next in every part. In this paper, a new and high-precision implementation approach for Gaussian filter is described, which is suitable for three-dimensional reference filtering. Based on the theory of generalized B-spline function and the variational principle, the transmission characteristics of a digital filter can be changed through the sensitivity of the parameters (t1, t2), and which can also reduce the rounding error and quantization error by the filter in a parallel form instead of the cascade form. Finally, the approximation filter of Gaussian filter is obtained. In order to verify the feasibility of the new algorithm, the reference extraction of the conventional methods are also used and compared. The experiments are conducted on the measured optical surface, and the results show that the total calculation by the new algorithm only requires 0.07 s for 480×480 data points; the amplitude deviation between the reference of the parallel form filter and the Gaussian filter is smaller; the new method is closer to the characteristic of the Gaussian filter through the analysis of three-dimensional roughness parameters, comparing with the cascade generalized B-spline approximating Gaussian. So the new algorithm is also efficient and accurate for the implementation of Gaussian filter in the application of surface roughness measurement. generalized B-spline (dpeaa)DE-He213 Gaussian filter (dpeaa)DE-He213 three-dimensional reference (dpeaa)DE-He213 cascade characteristic (dpeaa)DE-He213 parallel characteristic (dpeaa)DE-He213 Gao, Chenghui verfasserin aut Shen, Ding verfasserin aut Enthalten in Chinese Journal of Mechanical Engineering Chinese Mechanical Engineering Society, 2012 28(2014), 1 vom: 20. Dez., Seite 148-154 (DE-627)SPR008124000 nnns volume:28 year:2014 number:1 day:20 month:12 pages:148-154 https://dx.doi.org/10.3901/CJME.2014.1106.163 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER AR 28 2014 1 20 12 148-154 |
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10.3901/CJME.2014.1106.163 doi (DE-627)SPR008128669 (SPR)CJME.2014.1106.163-e DE-627 ger DE-627 rakwb eng Ren, Zhiying verfasserin aut 3D profile filter algorithm based on parallel generalized B-spline approximating Gaussian 2014 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract Currently, the approximation methods of the Gaussian filter by some other spline filters have been developed. However, these methods are only suitable for the study of one-dimensional filtering, when these methods are used for three-dimensional filtering, it is found that a rounding error and quantization error would be passed to the next in every part. In this paper, a new and high-precision implementation approach for Gaussian filter is described, which is suitable for three-dimensional reference filtering. Based on the theory of generalized B-spline function and the variational principle, the transmission characteristics of a digital filter can be changed through the sensitivity of the parameters (t1, t2), and which can also reduce the rounding error and quantization error by the filter in a parallel form instead of the cascade form. Finally, the approximation filter of Gaussian filter is obtained. In order to verify the feasibility of the new algorithm, the reference extraction of the conventional methods are also used and compared. The experiments are conducted on the measured optical surface, and the results show that the total calculation by the new algorithm only requires 0.07 s for 480×480 data points; the amplitude deviation between the reference of the parallel form filter and the Gaussian filter is smaller; the new method is closer to the characteristic of the Gaussian filter through the analysis of three-dimensional roughness parameters, comparing with the cascade generalized B-spline approximating Gaussian. So the new algorithm is also efficient and accurate for the implementation of Gaussian filter in the application of surface roughness measurement. generalized B-spline (dpeaa)DE-He213 Gaussian filter (dpeaa)DE-He213 three-dimensional reference (dpeaa)DE-He213 cascade characteristic (dpeaa)DE-He213 parallel characteristic (dpeaa)DE-He213 Gao, Chenghui verfasserin aut Shen, Ding verfasserin aut Enthalten in Chinese Journal of Mechanical Engineering Chinese Mechanical Engineering Society, 2012 28(2014), 1 vom: 20. Dez., Seite 148-154 (DE-627)SPR008124000 nnns volume:28 year:2014 number:1 day:20 month:12 pages:148-154 https://dx.doi.org/10.3901/CJME.2014.1106.163 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER AR 28 2014 1 20 12 148-154 |
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10.3901/CJME.2014.1106.163 doi (DE-627)SPR008128669 (SPR)CJME.2014.1106.163-e DE-627 ger DE-627 rakwb eng Ren, Zhiying verfasserin aut 3D profile filter algorithm based on parallel generalized B-spline approximating Gaussian 2014 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract Currently, the approximation methods of the Gaussian filter by some other spline filters have been developed. However, these methods are only suitable for the study of one-dimensional filtering, when these methods are used for three-dimensional filtering, it is found that a rounding error and quantization error would be passed to the next in every part. In this paper, a new and high-precision implementation approach for Gaussian filter is described, which is suitable for three-dimensional reference filtering. Based on the theory of generalized B-spline function and the variational principle, the transmission characteristics of a digital filter can be changed through the sensitivity of the parameters (t1, t2), and which can also reduce the rounding error and quantization error by the filter in a parallel form instead of the cascade form. Finally, the approximation filter of Gaussian filter is obtained. In order to verify the feasibility of the new algorithm, the reference extraction of the conventional methods are also used and compared. The experiments are conducted on the measured optical surface, and the results show that the total calculation by the new algorithm only requires 0.07 s for 480×480 data points; the amplitude deviation between the reference of the parallel form filter and the Gaussian filter is smaller; the new method is closer to the characteristic of the Gaussian filter through the analysis of three-dimensional roughness parameters, comparing with the cascade generalized B-spline approximating Gaussian. So the new algorithm is also efficient and accurate for the implementation of Gaussian filter in the application of surface roughness measurement. generalized B-spline (dpeaa)DE-He213 Gaussian filter (dpeaa)DE-He213 three-dimensional reference (dpeaa)DE-He213 cascade characteristic (dpeaa)DE-He213 parallel characteristic (dpeaa)DE-He213 Gao, Chenghui verfasserin aut Shen, Ding verfasserin aut Enthalten in Chinese Journal of Mechanical Engineering Chinese Mechanical Engineering Society, 2012 28(2014), 1 vom: 20. Dez., Seite 148-154 (DE-627)SPR008124000 nnns volume:28 year:2014 number:1 day:20 month:12 pages:148-154 https://dx.doi.org/10.3901/CJME.2014.1106.163 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER AR 28 2014 1 20 12 148-154 |
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10.3901/CJME.2014.1106.163 doi (DE-627)SPR008128669 (SPR)CJME.2014.1106.163-e DE-627 ger DE-627 rakwb eng Ren, Zhiying verfasserin aut 3D profile filter algorithm based on parallel generalized B-spline approximating Gaussian 2014 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract Currently, the approximation methods of the Gaussian filter by some other spline filters have been developed. However, these methods are only suitable for the study of one-dimensional filtering, when these methods are used for three-dimensional filtering, it is found that a rounding error and quantization error would be passed to the next in every part. In this paper, a new and high-precision implementation approach for Gaussian filter is described, which is suitable for three-dimensional reference filtering. Based on the theory of generalized B-spline function and the variational principle, the transmission characteristics of a digital filter can be changed through the sensitivity of the parameters (t1, t2), and which can also reduce the rounding error and quantization error by the filter in a parallel form instead of the cascade form. Finally, the approximation filter of Gaussian filter is obtained. In order to verify the feasibility of the new algorithm, the reference extraction of the conventional methods are also used and compared. The experiments are conducted on the measured optical surface, and the results show that the total calculation by the new algorithm only requires 0.07 s for 480×480 data points; the amplitude deviation between the reference of the parallel form filter and the Gaussian filter is smaller; the new method is closer to the characteristic of the Gaussian filter through the analysis of three-dimensional roughness parameters, comparing with the cascade generalized B-spline approximating Gaussian. So the new algorithm is also efficient and accurate for the implementation of Gaussian filter in the application of surface roughness measurement. generalized B-spline (dpeaa)DE-He213 Gaussian filter (dpeaa)DE-He213 three-dimensional reference (dpeaa)DE-He213 cascade characteristic (dpeaa)DE-He213 parallel characteristic (dpeaa)DE-He213 Gao, Chenghui verfasserin aut Shen, Ding verfasserin aut Enthalten in Chinese Journal of Mechanical Engineering Chinese Mechanical Engineering Society, 2012 28(2014), 1 vom: 20. Dez., Seite 148-154 (DE-627)SPR008124000 nnns volume:28 year:2014 number:1 day:20 month:12 pages:148-154 https://dx.doi.org/10.3901/CJME.2014.1106.163 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER AR 28 2014 1 20 12 148-154 |
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3D profile filter algorithm based on parallel generalized B-spline approximating Gaussian |
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Abstract Currently, the approximation methods of the Gaussian filter by some other spline filters have been developed. However, these methods are only suitable for the study of one-dimensional filtering, when these methods are used for three-dimensional filtering, it is found that a rounding error and quantization error would be passed to the next in every part. In this paper, a new and high-precision implementation approach for Gaussian filter is described, which is suitable for three-dimensional reference filtering. Based on the theory of generalized B-spline function and the variational principle, the transmission characteristics of a digital filter can be changed through the sensitivity of the parameters (t1, t2), and which can also reduce the rounding error and quantization error by the filter in a parallel form instead of the cascade form. Finally, the approximation filter of Gaussian filter is obtained. In order to verify the feasibility of the new algorithm, the reference extraction of the conventional methods are also used and compared. The experiments are conducted on the measured optical surface, and the results show that the total calculation by the new algorithm only requires 0.07 s for 480×480 data points; the amplitude deviation between the reference of the parallel form filter and the Gaussian filter is smaller; the new method is closer to the characteristic of the Gaussian filter through the analysis of three-dimensional roughness parameters, comparing with the cascade generalized B-spline approximating Gaussian. So the new algorithm is also efficient and accurate for the implementation of Gaussian filter in the application of surface roughness measurement. |
| abstractGer |
Abstract Currently, the approximation methods of the Gaussian filter by some other spline filters have been developed. However, these methods are only suitable for the study of one-dimensional filtering, when these methods are used for three-dimensional filtering, it is found that a rounding error and quantization error would be passed to the next in every part. In this paper, a new and high-precision implementation approach for Gaussian filter is described, which is suitable for three-dimensional reference filtering. Based on the theory of generalized B-spline function and the variational principle, the transmission characteristics of a digital filter can be changed through the sensitivity of the parameters (t1, t2), and which can also reduce the rounding error and quantization error by the filter in a parallel form instead of the cascade form. Finally, the approximation filter of Gaussian filter is obtained. In order to verify the feasibility of the new algorithm, the reference extraction of the conventional methods are also used and compared. The experiments are conducted on the measured optical surface, and the results show that the total calculation by the new algorithm only requires 0.07 s for 480×480 data points; the amplitude deviation between the reference of the parallel form filter and the Gaussian filter is smaller; the new method is closer to the characteristic of the Gaussian filter through the analysis of three-dimensional roughness parameters, comparing with the cascade generalized B-spline approximating Gaussian. So the new algorithm is also efficient and accurate for the implementation of Gaussian filter in the application of surface roughness measurement. |
| abstract_unstemmed |
Abstract Currently, the approximation methods of the Gaussian filter by some other spline filters have been developed. However, these methods are only suitable for the study of one-dimensional filtering, when these methods are used for three-dimensional filtering, it is found that a rounding error and quantization error would be passed to the next in every part. In this paper, a new and high-precision implementation approach for Gaussian filter is described, which is suitable for three-dimensional reference filtering. Based on the theory of generalized B-spline function and the variational principle, the transmission characteristics of a digital filter can be changed through the sensitivity of the parameters (t1, t2), and which can also reduce the rounding error and quantization error by the filter in a parallel form instead of the cascade form. Finally, the approximation filter of Gaussian filter is obtained. In order to verify the feasibility of the new algorithm, the reference extraction of the conventional methods are also used and compared. The experiments are conducted on the measured optical surface, and the results show that the total calculation by the new algorithm only requires 0.07 s for 480×480 data points; the amplitude deviation between the reference of the parallel form filter and the Gaussian filter is smaller; the new method is closer to the characteristic of the Gaussian filter through the analysis of three-dimensional roughness parameters, comparing with the cascade generalized B-spline approximating Gaussian. So the new algorithm is also efficient and accurate for the implementation of Gaussian filter in the application of surface roughness measurement. |
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3D profile filter algorithm based on parallel generalized B-spline approximating Gaussian |
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https://dx.doi.org/10.3901/CJME.2014.1106.163 |
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Gao, Chenghui Shen, Ding |
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Gao, Chenghui Shen, Ding |
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10.3901/CJME.2014.1106.163 |
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2024-07-03T17:29:59.828Z |
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